Chevy S10 Pick 1995 - Sputters and almost stalls when accelerating.

You could have a dirty EGR valve, you can re move it from the manifold and clean it with Throttle body cleaner. Might as well buy two cans, since your cleaning the EGR, might as well clean out the throttle body too.
Spray the throttle body cleaner in to the throttle body with the engine running and try to keep it at 1000 rpm and then to 1500 rpm as you clean out the throttle body and let it idle down for 2 min then turn the engine off. Then turn the engine to the run position for 10 seconds and start and let idle, ro for a test drive and hope that solved the problem, if not there a few more things we can do which will consist for tune up.
Note: Clean the EGR first so you don't burn your self since the engine would still be cool before you clean the Throttle body.
Good luck and keep me posted.